PLS HELP...ASAP
Which is the equation of a parabola with a directrix at y = -3 and a focus at (-2, 3).
y= 1/12(x - 2)²
y=1/12(x+2)²
y=-1/12(x + 2)²
y=-1/12(x-2)²

Step-by-step explanation:

If you plot the directrix, which is a horizontal line, then you plot the focus, which is above the directrix, you know that this parabola opens upwards (meaning it is positive), since a parabola always wraps itself around the focus, directed away from the directrix.  The standard form of this type of parabola is

where h and k are the coordinates of the vertex.  We were not given those coordinates, but we SHOULD know by now that the vertex is directly between the focus and the directrix, on the same axis of symmetry as the focus is.  So the vertex is located at (-2, 0).  Therefore, h = -2, k = 0.

P is defined as the distance between the vertex and the focus, or the vertex and the directrix, since they are the same.  Our p is 3 units.

Filling in our equation then gives us

and

and

The second choice is the one you want.

10.416 meters per second

step-by-step explanation:

distance=1 00 meters

time= 9.6 seconds in decimal form or 9 3/5 as a mixed number

average speed= 100/9.6

=10.416 meters per second or 10 52/125 as a mixed number.

if you was gonna solve for a, a is a   < -12